由顶夸克(LH二重态,RH单线态)和希格斯玻色子动力学项组成的顶-希格斯系统,规范场设置为零,具有精确(模总发散)对称性,其中费米子和希格斯场都以超对称的方式移动和混合。完整的Higgs-Yukawa相互作用和Higgs势,包括额外的\sim 1/Λ^2类NJL相互作用,也具有O(1/Λ^4)的对称性,直到零算符。因此,相互作用拉格朗日量可以看作是1/^2的幂级数。这种对称性涉及到希格斯四次相互作用与希格斯-汤川相互作用的相互作用,并暗示了在高能尺度Λ>=几TeV时,顶-汤川耦合g与希格斯四次耦合λ之间的关系λ= \half g ^2。我们认为这是一种新的物理尺度。顶夸克在对称相中是无质量的,满足南武-戈德斯通定理。由于λ和g的相互作用,电流的费米子位移部分为\propto(1-H^ \dagger H/v ^2),并在破缺相中消失。因此,在破缺相中,南武-戈德斯通定理被简单地回避了,顶夸克变重了(它不是戈德斯通)。我们有m_t=m_h,经过辐射修正,原则上可以使希格斯粒子与实验一致。
英文摘要:
The top-Higgs system, consisting of top quark (LH doublet, RH singlet) and Higgs boson kinetic terms, with gauge fields set to zero, has an exact (modulo total divergences) symmetry where both fermion and Higgs fields are shifted and mixed in a supersymmetric fashion. The full Higgs-Yukawa interaction and Higgs-potential, including additional \sim 1/Λ^2 NJL-like interactions, also has this symmetry to O(1/Λ^4), up to null-operators. Thus the interaction lagrangian can be viewed as a power series in 1/Λ^2. The symmetry involves interplay of the Higgs quartic interaction with the Higgs-Yukawa interaction and implies the relationship, λ= \half g^2 between the top--Yukawa coupling, g, and Higgs quartic coupling, λ, at a high energy scale Λ>= few TeV. We interpret this to be a new physics scale. The top quark is massless in the symmetric phase, satisfying the Nambu-Goldstone theorem. The fermionic shift part of the current is \propto (1-H^\dagger H/v^2), owing to the interplay of λand g, and vanishes in the broken phase. Hence the Nambu-Goldstone theorem is trivially evaded in the broken phase and the top quark becomes heavy (it is not a Goldstino). We have m_t=m_h, subject to radiative corrections that can in principle pull the Higgs into concordance with experiment.
"Super"-Dilatation Symmetry of the Top-Higgs System
顶-希格斯系统,由顶夸克(LH二重态,RH单线态)和希格斯玻色子动力学项组成,规范场设置为零,具有精确(模总发散)对称性,费米子和希格斯场都以超对称的方式移动和混合。完整的Higgs-Yukawa相互作用和Higgs势,包括额外的1/Λ^2 N JL类相互作用,也具有这种对称性到0(1/Λ^4)直到零算符。因此,相互作用拉格朗日量可以看作是1/^2的幂级数。这种对称性涉及到希格斯四次相互作用与希格斯-汤川相互作用的相互作用,并暗示了在高能尺度Λ=几TeV时,顶-汤川耦合g与希格斯四次耦合λ之间的关系λ= \half g ^2。我们认为这是一种新的物理尺度。顶夸克在对称相中是无质量的,满足南武-戈德斯通定理。由于λ和g的相互作用,电流的费米子位移部分为\propto(1-H^ \dagger H/v ^2),在破缺相中消失。因此,在破缺相中,南武-戈德斯通定理被简单地回避了,顶夸克变重了(它不是戈德斯通)。我们有m_t=m_h,经过辐射修正,原则上可以使希格斯粒子与实验一致。